Right Triangles and Trigonometry

SAT Math· difficulty 4/5

A plane flies at altitude 30003000 ft. The angle of depression from the plane to a point on the ground is 30°30°. How far horizontally is the point from directly below the plane?

  • A

    30003\frac{3000}{\sqrt{3}} ft

  • B

    300033000\sqrt{3} ft

    check_circle
  • C

    15001500 ft

  • D

    30003000 ft

Explanation

tan30°=3000x\tan 30°=\frac{3000}{x}, so x=3000tan30°=30003x=\frac{3000}{\tan 30°}=3000\sqrt{3}.

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